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Savatey [412]
3 years ago
8

What is the common difference between successive terms in the sequence? 2, 8, 14, 20, 26, ... –6 –4 4 6

Mathematics
2 answers:
Alex777 [14]3 years ago
8 0

Answer:

6

Step-by-step explanation:

Ainat [17]3 years ago
8 0

Answer:

6

Step-by-step explanation:

2+6=8

8+6=14

14+6=20

etc.

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Does anyone know what the slope should be
Lemur [1.5K]
The slope is 4/3.

rise/run
rise = 4
run = 3
5 0
2 years ago
Find the values of x and y if 5 ˣ⁻³ x 3²ʸ⁻⁸ =225
-BARSIC- [3]

Answer:

x = 5, y = 5

Step-by-step explanation:

{5}^{x - 3}  \times  {3}^{2y - 8}  = 225 \\ {5}^{x - 3}  \times  {3}^{2y - 8}  = 25 \times 9 \\  {5}^{x - 3}  \times  {3}^{2y - 8}  =  {5}^{2} \times  {3}^{2}  \\ equating \: like \: power \: terms \: from \: both \:\\ sides \\ {5}^{x - 3}  =  {5}^{2} \\ x - 3 = 2 (Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ x = 3 + 2 \\ \huge \red{ \boxed{ x = 5}} \\  \\ {3}^{2y - 8}  = {3}^{2} \\ 2y - 8 = 2(Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal)  \\ 2y = 2 + 8 \\ 2y = 10 \\ y =  \frac{10}{2}  \\ \huge \purple{ \boxed{y = 5}}

5 0
3 years ago
The answer please for my online class
Eddi Din [679]

Answer:

B. -500

Step-by-step explanation:

\dfrac{(2a^4)^2}{a^0a^5} =

= \dfrac{2^2a^8}{a^5}

= 4a^3

= 4(-5)^3

= 4(-125)

= -500

3 0
2 years ago
Which is an x-intercept of the continuous function in the
Paladinen [302]

Answer:

(-1, 0), (2, 0), (3, 0)

Step-by-step explanation:

x-intercept of a line is defined by a point where y = 0.

So the point in the form of (x, 0) will be the x-intercept of the given continuous function.

From the table attached,

For x = -1, f(-1) = 0

For x = 2, f(2) = 0

For x = 3, f(3) = 0

Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the continuous function f(x).

5 0
3 years ago
The yearly cost y for driving a certain car is $7,800 for 10,000 miles
Licemer1 [7]

Answer:

y = 0.36x + 4200.00

15100.00 miles.

Step-by-step explanation:

If the yearly cost for driving x miles is given by y dollars then the two ordered pairs to find the linear relation between x and y are (10000,7800) and (20000,11400).

So, the equation will be

\frac{y - 11400}{11400 - 7800} = \frac{x - 20000}{20000 - 10000}

⇒ \frac{y - 11400}{3600} = \frac{x - 20000}{10000}

⇒ y - 11400 = \frac{9}{25}(x - 20000)

⇒ y - 11400 = \frac{9}{25}x - 7200

⇒ y = \frac{9}{25}x + 4200

⇒ y = 0.36x + 4200.00 ........... (1) (Answer)

Now, for y = $9636.00, from equation (1),

9636 = 0.36x + 4200

⇒ 0.36x = 5436

⇒ x = 15100.00 miles. (Answer)

6 0
3 years ago
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